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Simplifying 38 + -1(2c + 4) = (c + 5) + c Reorder the terms: 38 + -1(4 + 2c) = (c + 5) + c 38 + (4 * -1 + 2c * -1) = (c + 5) + c 38 + (-4 + -2c) = (c + 5) + c Combine like terms: 38 + -4 = 34 34 + -2c = (c + 5) + c Reorder the terms: 34 + -2c = (5 + c) + c Remove parenthesis around (5 + c) 34 + -2c = 5 + c + c Combine like terms: c + c = 2c 34 + -2c = 5 + 2c Solving 34 + -2c = 5 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 34 + -2c + -2c = 5 + 2c + -2c Combine like terms: -2c + -2c = -4c 34 + -4c = 5 + 2c + -2c Combine like terms: 2c + -2c = 0 34 + -4c = 5 + 0 34 + -4c = 5 Add '-34' to each side of the equation. 34 + -34 + -4c = 5 + -34 Combine like terms: 34 + -34 = 0 0 + -4c = 5 + -34 -4c = 5 + -34 Combine like terms: 5 + -34 = -29 -4c = -29 Divide each side by '-4'. c = 7.25 Simplifying c = 7.25
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